The video explores the vast complexities of understanding scale in relation to the universe. Historically, measurements related to human proportions like feet and meters seem inadequate when examining the deeper structures of reality. As humanity's grasp of physics evolved, starting from the 17th century, scientists have realized the necessity for fundamental constants like the speed of light, gravitational force, and Planck's constant to measure the universe in a language that transcends human-centric scales, which would even be comprehensible to extraterrestrial civilizations.

The concept of the Planck length illuminates the immense challenge of observing minuscule components of the universe as compared to human-scale observations. The discourse reveals the intricacies of quantum mechanics that demand higher energy to view smaller wavelengths, with limitations like the Planck length where observation becomes impossible beyond a certain scale. This is paralleled with the overwhelming vastness of astronomical distances; the closest galaxy is millions of light-years away, highlighting our miniature significance.

Main takeaways from the video:

Please remember to turn on the CC button to view the subtitles.

Key Vocabularies and Common Phrases:

1. fundamental [ˌfʌndəˈmɛntl] - (adjective) - Serving as a basic or essential component; of central importance. - Synonyms: (basic, essential, core)

Is that fundamental? Well, the answer is no.

2. profound [prəˈfaʊnd] - (adjective) - Having deep insight or understanding; intellectually deep or penetrating. - Synonyms: (deep, insightful, philosophical)

It doesn't tell you anything profound or deep about the deep structure of the universe.

3. gravitational [ˌɡrævɪˈteɪʃənl] - (adjective) - Relating to the force that attracts two bodies toward each other, typical of massive objects like planets. - Synonyms: (gravity-related, attritional, pull-based)

Another one would be the strength of the gravitational force.

4. photon [ˈfoʊtɒn] - (noun) - A particle representing a quantum of light or other electromagnetic radiation. A photon carries energy proportional to the radiation frequency but has zero rest mass. - Synonyms: (light particle, quantum, radiation unit)

What's the energy of a photon? A packet of light?

5. unimaginably [ˌʌnɪˈmædʒɪnəbli] - (adverb) - In a way that is difficult or impossible to conceive or comprehend. - Synonyms: (incomprehensibly, extraordinarily, remarkably)

unimaginably small. How could you picture that?

6. distort [dɪˈstɔrt] - (verb) - To pull or twist out of shape; to change something so that it is no longer accurate or true. - Synonyms: (twist, warp, misrepresent)

Or in Einstein's theory, how does a particular amount of matter or energy distort the fabric of the universe?

7. magnitude [ˈmæɡnɪˌtjud] - (noun) - The size, extent, or dimensional greatness of something. - Synonyms: (extent, enormity, scale)

We're looking, I suppose, for units of measurement that we could, you could imagine if we met some aliens from some different civilization.

8. inconceivable [ˌɪnkənˈsiːvəbəl] - (adjective) - Not capable of being imagined or grasped mentally; unbelievable. - Synonyms: (unimaginable, unthinkable, ungraspable)

It's unimaginably small... It becomes inconceivable, and the Sun's quite a small star.

9. anthropic [ænˈθrɒpɪk] - (adjective) - Relating to humans or the human race. - Synonyms: (homocentric, human-related, human-centric)

A book called the anthropic Cosmological Principle by John Barrow and Frank Tipler.

10. immortal [ɪˈmɔrtəl] - (adjective) - Living forever; not subject to death. - Synonyms: (eternal, deathless, undying)

You almost say that life manipulates the universe such that it becomes immortal.

Brian Cox - The incomprehensible scales that rule the Universe

When we think about the size of things, we tend to think of the size of things with reference to ourselves. So, you know, the foot or the meter, those things, or the inch or the centimeter, what are those things? Ultimately, historically, they're based on properties of the human body. So they're based on biology. And that's what we did historically. Because why would you do anything else? Is that fundamental? Well, the answer is no. It doesn't tell you anything profound or deep about the deep structure of the universe. But of course, the history of physics tells us as we go into the 17th century, the 18th century, the 19th century, 20th century, we then begin to understand that there are things that are much bigger than us and much smaller than us. We're looking, I suppose, for units of measurement that we could, you could imagine if we met some aliens from some different civilization. They might not even have arms, right, or feet, but they might be very different in size and scale from us. So what would the common language be? Is there some units of measurement that we could all agree on?

I'm Brian Cox. My full title is professor of Particle Physics at the University of Manchester, Royal Society professor for Public Engagement in Science, and Visiting Scholar at the Crick Institute. Or you could just call me Brian. What are the fundamental quantities, as far as we can tell, that really tell us something about the structure of nature? So one would be the speed of light. Everything that is massless travels at the speed of light. This speed, whatever it is, if you have any mass at all, you cannot travel, you cannot accelerate to this speed. Another one would be the strength of the gravitational force. So what is the force between two objects of a particular mass? Or in Einstein's theory, how does a particular amount of matter or energy distort the fabric of the universe?

The number that tells you about that is Newton's gravitational constant, which was first measured back in the 1780s, 1790s. And then there's Planck's constant itself. In 1900, Max Planck made a revolutionary proposal. You could say, for example, that there's a fundamental limit on how accurately we can know the position of a particle and the momentum of a particle. You can't know them both with absolute precision. There's a fundamental limit, and it's around about Planck's constant. Planck first introduced it in the context of the frequency or the wavelength of light emitted from hot objects. Photons. What's the energy of a photon? A packet of light? It's Planck's constant multiplied by the frequency.

So those three things, speed of light, strength of gravity, and Planck's constant allow you to define some distances, a particular distance called the Planck length. And it's a tiny length. It's about 10 to the minus 35 meters point. Naught, naught, naught, naught or naught, naught. 35 naught's 1 of a meter. So we have this fundamental it appears length scale in the universe. unimaginably small. How could you picture that? If you take a proton and expand it to the size of our solar system. So imagine that the nucleus of a hydrogen atom, and you imagine expanding that to the size of our solar system, out to the orbit of Neptune, then something that's the Planck length would expand to, let's say, a virus or a living cell. So the ratio in size between the Planck length and a cell, which we can just about see under a microscope, is the same ratio as a proton to the solar system. It's unimaginably small.

So how do you observe something that's very small? You have to shine light with a very small wavelength onto this thing to see the tiny thing. The wavelength can't be bigger but than the tiny thing, otherwise you won't see it. But remember, quantum mechanics tells us that the smaller the wavelength of the light, the higher the energy of the photons. So I have to start bombarding this thing with higher energy photons to see it. What happens if you try to approach something that's the Planck length, you get so much energy in there, what you do is you form a black hole and then you put more energy in and you try to see what's going on and the black hole grows. And so you get to a point which is around the Planck length in size, where you can't in principle try to resolve the structure of this thing.

So I think it is legitimate to make the argument that given what we know about the universe, given the measurement we make of the strength of gravity, the measurement we make of Planck's constant, and the measurement we make of the speed of light, then there is something fundamental about this very tiny length, 10 to the minus 35 meters. Of course, the things we can really get a feel for are things that are around, let's say a few inches, a few centimeters to a few meters. But then when you start to talk about the distance to the planets or the distance to the sun, the so called astronomical unit, 93 million miles. What does 93 million miles mean?

So look at the moon. The moon is the same radius on the sky as the sun. You know that because of total solar eclipses, it is a coincidence based on the way that our solar system has evolved. But it's a nice coincidence. So we can perhaps conceive of what the sun looks like on the sky 93 million miles away. You can fit a million Earths inside the Sun. So how do we conceive of that? The radius is something like 100 times the radius of the Earth. That means that if you got in a passenger aircraft, well, it'd take something like a year to fly around the sun in a passenger aircraft. It becomes inconceivable, and the Sun's quite a small star.

So then we start to think of bigger distances so that the most distant object that we created, we built the Voyager 1 spacecraft. 3, 2, 1. MDS. We have ignition. We have a liftoff. Is now well over 150 astronomical units from the Earth, 150 times the distance from the Earth to the Sun. What does that mean? It takes light over 22 hours to reach it. So a signal at the speed of light to go to the most distant object we are in communication with, which has been flying since the 1970s.

And then we have 365 times that a light year, which is to the frozen edge of the Sun's influence, the edge of the Oort Cloud. Four times further than that, you get to the nearest star, the Proxima Centauri, the Alpha Centauri system. That started about four light years away or so. So that's inconceivable. And then you start to talk about the, well, a galaxy, then the Milky Way galaxy. We're all in orbit around the center of the Milky Way galaxy. How big is this collection of stars? Somewhere between 200 and 400 billion suns in the Milky Way galaxy, about 100,000 light years across.

And then you say, well, what about the nearest galaxy? So you go outside on a clear night where there's no moon and it's dark, away from the city lights. And if you know where to look, you can just about see our nearest neighboring large galaxy. It's called the Andromeda Galaxy. That galaxy is 2 1/2 million light years away. It means the light entering your eye began its journey before we had evolved on, on Earth.

And then you start to say, well, what about the other galaxies? So we've measured galaxies now out to what we close to the edge of the observable universe with instruments like the James Webb Space Telescope, from which the light has journeyed for over 13 billion years to reach us. 13,000 million years to reach us. And the universe has been expanding in that time.

So the most distant thing you can see in the universe that we can detect light from is called the cosmic microwave background radiation. So the cosmic microwave background radiation is light that was emitted 380,000 years after the Big Bang. So that's been traveling for 13.8 billion years or so across the universe to reach us. But then if you ask the question, where is that place now, the place that it emitted that photon from the cosmic microwave background radiation that came across the universe for 13.8 billion years into our detectors, where is it now? Because the universe has been expanding, you get an answer which is something like 46 billion light years away now. So you might say, well, the radius of the universe is 92 billion light years or so. It isn't, because we know. We know that there's more universe beyond that.

That's just as far as we can see the universe, for all we know. And given the accuracy of our measurements at the moment might be infinite in extent. And that genuinely is inconceivable. When we contemplate the size and the scale of the universe and our place within it, which you're forced to do when you think about the distance scales and the sheer size and age of the universe, then I think it's very natural for us to tend to come to the conclusion that we don't matter at all. But one of the great joys about essentially being a scientist is that you can come across a point of view and you think, I hadn't thought of that. And I found it happened to me. Recently I was reading a book by David Deutsch, who is one of the great. One of the founders of quantum computing, and he made a point which I had heard before, actually, in a book called the anthropic Cosmological Principle by John Barrow and Frank Tiffler, which is a huge influence on me. But David Deutsch and Barrow and Tipler pointed out that it's not necessarily the case that life will always be a speck, that life remains insignificant on a cosmic scale.

You shouldn't assume that, because if life persists sufficiently long and becomes sufficiently knowledgeable and powerful, then it may be able to influence larger structures, not just planets, and not just solar systems, perhaps not just even galaxies. You almost say that life manipulates the universe such that it becomes immortal. And it's a very beautiful idea.

PHYSICS, SCIENCE, TECHNOLOGY, BRIAN COX, COSMOLOGY, UNIVERSE, BIG THINK